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84072189366 = 2321115128110007
BaseRepresentation
bin100111001001100010…
…1111100110110110110
322001000010122201122100
41032103011330312312
52334134440024431
6102342222442530
76034246550544
oct1162305746666
9261003581570
1084072189366
1132722617240
1214363733446
137c0a9b0719
1440d7920d94
1522c0c534e6
hex139317cdb6

84072189366 has 96 divisors (see below), whose sum is σ = 200764002816. Its totient is φ = 25215120000.

The previous prime is 84072189329. The next prime is 84072189373. The reversal of 84072189366 is 66398127048.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8396335 + ... + 8406341.

It is an arithmetic number, because the mean of its divisors is an integer number (2091291696).

Almost surely, 284072189366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84072189366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100382001408).

84072189366 is an abundant number, since it is smaller than the sum of its proper divisors (116691813450).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

84072189366 is a wasteful number, since it uses less digits than its factorization.

84072189366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10458 (or 10455 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 84072189366 in words is "eighty-four billion, seventy-two million, one hundred eighty-nine thousand, three hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 151 198 281 302 453 562 843 906 1359 1661 1686 2529 2718 3091 3322 4983 5058 6182 9273 9966 10007 14949 18546 20014 27819 29898 30021 42431 55638 60042 84862 90063 110077 127293 180126 220154 254586 330231 381879 466741 660462 763758 933482 990693 1400223 1511057 1981386 2800446 2811967 3022114 4200669 4533171 5623934 8401338 8435901 9066342 13599513 16621627 16871802 25307703 27199026 30931637 33243254 49864881 50615406 61863274 92794911 99729762 149594643 185589822 278384733 299189286 424607017 556769466 849214034 1273821051 2547642102 3821463153 4670677187 7642926306 9341354374 14012031561 28024063122 42036094683 84072189366